Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters
Abstract Brains demonstrate varying spatial scales of nested hierarchical clustering. Identifying the brain’s neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks capable of building...
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2021
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oai:doaj.org-article:4437a08b9cd74b978b311f5678a4bb4a2021-12-02T15:54:06ZUnique scales preserve self-similar integrate-and-fire functionality of neuronal clusters10.1038/s41598-021-82461-42045-2322https://doaj.org/article/4437a08b9cd74b978b311f5678a4bb4a2021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-82461-4https://doaj.org/toc/2045-2322Abstract Brains demonstrate varying spatial scales of nested hierarchical clustering. Identifying the brain’s neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks capable of building intelligent computation. Experiments support various forms and sizes of neural clustering, from handfuls of dendrites to thousands of neurons, and hint at their behavior. Here, we use computational simulations with a brain-derived fMRI network to show that not only do brain networks remain structurally self-similar across scales but also neuron-like signal integration functionality (“integrate and fire”) is preserved at particular clustering scales. As such, we propose a coarse-graining of neuronal networks to ensemble-nodes, with multiple spikes making up its ensemble-spike and time re-scaling factor defining its ensemble-time step. This fractal-like spatiotemporal property, observed in both structure and function, permits strategic choice in bridging across experimental scales for computational modeling while also suggesting regulatory constraints on developmental and evolutionary “growth spurts” in brain size, as per punctuated equilibrium theories in evolutionary biology.Anar AmgalanPatrick TaylorLilianne R. Mujica-ParodiHava T. SiegelmannNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021) |
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Medicine R Science Q Anar Amgalan Patrick Taylor Lilianne R. Mujica-Parodi Hava T. Siegelmann Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters |
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Abstract Brains demonstrate varying spatial scales of nested hierarchical clustering. Identifying the brain’s neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks capable of building intelligent computation. Experiments support various forms and sizes of neural clustering, from handfuls of dendrites to thousands of neurons, and hint at their behavior. Here, we use computational simulations with a brain-derived fMRI network to show that not only do brain networks remain structurally self-similar across scales but also neuron-like signal integration functionality (“integrate and fire”) is preserved at particular clustering scales. As such, we propose a coarse-graining of neuronal networks to ensemble-nodes, with multiple spikes making up its ensemble-spike and time re-scaling factor defining its ensemble-time step. This fractal-like spatiotemporal property, observed in both structure and function, permits strategic choice in bridging across experimental scales for computational modeling while also suggesting regulatory constraints on developmental and evolutionary “growth spurts” in brain size, as per punctuated equilibrium theories in evolutionary biology. |
format |
article |
author |
Anar Amgalan Patrick Taylor Lilianne R. Mujica-Parodi Hava T. Siegelmann |
author_facet |
Anar Amgalan Patrick Taylor Lilianne R. Mujica-Parodi Hava T. Siegelmann |
author_sort |
Anar Amgalan |
title |
Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters |
title_short |
Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters |
title_full |
Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters |
title_fullStr |
Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters |
title_full_unstemmed |
Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters |
title_sort |
unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/4437a08b9cd74b978b311f5678a4bb4a |
work_keys_str_mv |
AT anaramgalan uniquescalespreserveselfsimilarintegrateandfirefunctionalityofneuronalclusters AT patricktaylor uniquescalespreserveselfsimilarintegrateandfirefunctionalityofneuronalclusters AT liliannermujicaparodi uniquescalespreserveselfsimilarintegrateandfirefunctionalityofneuronalclusters AT havatsiegelmann uniquescalespreserveselfsimilarintegrateandfirefunctionalityofneuronalclusters |
_version_ |
1718385443845701632 |